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Begum Atesli,
Ogul Esen, and
Serkan Sutlu
Cohomologies and generalized derivations of n-Lie algebras
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| Published: |
December 7, 2022. |
| Keywords: |
n-Lie algebra; Leibniz algebra; generalized derivation. |
| Subject [2010]: |
17A32; 17A40; 17A42; 17A36; 17B56. |
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Abstract
A cohomology theory associated to an n-Lie algebra and a representation space of it is introduced. It is shown that this cohomology theory classifies generalized derivations of n-Lie algebras as 1-cocycles, and inner generalized derivations as 1-coboundaries.
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| Acknowledgements
The authors acknowledge the support by TUBITAK (the Scientific and Technological Research Council of Turkey) through the project "Matched pairs of Lagrangian and Hamiltonian Systems" with the project number 117F426.
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| Author information
Begum Atesli:
Gebze Technical University
Kocaeli, Turkey
b.atesli@gtu.edu.tr
Ogul Esen:
Gebze Technical University
Kocaeli, Turkey
oesen@gtu.edu.tr
Serkan Sutlu:
Isik University
Istanbul, Turkey
serkan.sutlu@isikun.edu.tr
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